共查询到20条相似文献,搜索用时 15 毫秒
1.
Yue-Qing Wang 《Journal of Mathematical Analysis and Applications》2008,342(1):747-751
In this note, the estimate of norms of commutators of self-adjoint operators is established. 相似文献
2.
In terms of continuous decomposition and choosing an appropriate BMO function, the authors obtain a sharp necessary condition
for L
p boundedness of the commutators generated by Bochner-Riesz operators below the critical index and BMO functions.
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3.
In this note, we give a characterization of a pair (A,B) of positive contractions with commutator AB−BA of maximum possible norm. A necessary and sufficient condition is that either or its complex conjugate is in the closure of the numerical range of AB. 相似文献
4.
5.
Fuad Kittaneh 《Mathematische Zeitschrift》2008,258(4):845-849
Let X, Y, and Z be operators on a Hilbert space such that X and Z are positive. It is shown that
Applications of this commutator inequality are given.
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6.
7.
Bei Hu 《Journal of Mathematical Analysis and Applications》2008,340(1):598-605
In this paper we show that b∈Lipβ,μ if and only if the commutator [b,T] of the multiplication operator by b and the singular integral operator T is bounded from Lp(μ) to Lq(μ1−q), where 1<p<q<∞, 0<β<1 and 1/q=1/p−β/n. Also we will obtain that b∈Lipβ,μ if and only if the commutator [b,Iα] of the multiplication operator by b and the fractional integral operator Iα is bounded from Lp(μ) to Lr(μ1−(1−α/n)r), where 1<p<∞, 0<β<1 and 1/r=1/p−(β+α)/n with 1/p>(β+α)/n. 相似文献
8.
In this paper, the authors obtain the endpoint estimates for a class of non-standard commutators with higher order remainders and their variants. Moreover, the authors show that these operators are actually not bounded in certain cases.
9.
Sylvain Golénia 《Journal of Functional Analysis》2009,256(8):2587-2620
We perform the spectral analysis of a zero temperature Pauli-Fierz system for small coupling constants. Under the hypothesis of Fermi golden rule, we show that the embedded eigenvalues of the uncoupled system disappear and establish a limiting absorption principle above this level of energy. We rely on a positive commutator approach introduced by Skibsted and pursued by Georgescu-Gérard-Møller. We complete some results obtained so far by Dereziński-Jakši? on one side and by Bach-Fröhlich-Sigal-Soffer on the other side. 相似文献
10.
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
David Lannes 《Journal of Functional Analysis》2006,232(2):495-539
We consider here pseudo-differential operators whose symbol σ(x,ξ) is not infinitely smooth with respect to x. Decomposing such symbols into four—sometimes five—components and using tools of paradifferential calculus, we derive sharp estimates on the action of such pseudo-differential operators on Sobolev spaces and give explicit expressions for their operator norm in terms of the symbol σ(x,ξ). We also study commutator estimates involving such operators, and generalize or improve the so-called Kato-Ponce and Calderon-Coifman-Meyer estimates in various ways. 相似文献
11.
The boundedness of maximal multilinear commutator on certain weighted spaces is obtained. The boundedness of mulitilinear commutators of singular integrals with Calderon-Zygmund kernel on Herz-type spaces is also considered. 相似文献
12.
In this paper, we study the weighted norm inequalities for commutators formed by a class of one-sided oscillatory integral
operators and functions in one-sided BMO spaces. 相似文献
13.
Weak estimates for commutators of fractional integral operators 总被引:4,自引:0,他引:4
By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique
of the sharp function, the weak type LlogL estimates for the commutators of the fractional integral operator and the related
maximal operator are established. 相似文献
14.
Teresa Bermúdez Benito Gonzlez Emilio Negrín 《Journal of Mathematical Analysis and Applications》2009,360(1):328-333
In this paper we study the q-commutator of Wick products on the CCR (canonical commutation relation) algebra and on the CAR (canonical anticommutation relation) algebra. We obtain a formula on q-commutator of Wick products in terms of Wick products of monomials of lower order. Moreover, we give a relation of double q-commutator. 相似文献
15.
Wenming Li 《Journal of Mathematical Analysis and Applications》2006,322(2):1215-1223
We give a condition which is sufficient for the two-weight (p,q) inequalities for commutators of potential type integral operators. 相似文献
16.
Christian Gérard 《Journal of Functional Analysis》2008,254(11):2707-2724
We give a proof in an abstract setting of various resolvent estimates including the limiting absorption principle starting from a Mourre positive commutator estimate, using standard energy estimates arguments. 相似文献
17.
Xuan Thinh Duong Irina Holmes Ji Li Brett D. Wick Dongyong Yang 《Journal of Functional Analysis》2019,276(4):1007-1060
In this paper we establish the characterization of the weighted BMO via two weight commutators in the settings of the Neumann Laplacian on the upper half space and the reflection Neumann Laplacian on with respect to the weights associated to and respectively. This in turn yields a weak factorization for the corresponding weighted Hardy spaces, where in particular, the weighted class associated to is strictly larger than the Muckenhoupt weighted class and contains non-doubling weights. In our study, we also make contributions to the classical Muckenhoupt–Wheeden weighted Hardy space (BMO space respectively) by showing that it can be characterized via the area function (Carleson measure respectively) involving the semigroup generated by the Laplacian on and that the duality of these weighted Hardy and BMO spaces holds for Muckenhoupt weights with while the previously known related results cover only . We also point out that this two weight commutator theorem might not be true in the setting of general operators L, and in particular we show that it is not true when L is the Dirichlet Laplacian on . 相似文献
18.
In this paper, we prove the Lp (?n ) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces provided that 1 < p < ∞ (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
19.
Jean-Marc Bouclet 《Annals of Global Analysis and Geometry》2013,44(2):115-136
For a class of asymptotically hyperbolic manifolds, we show that the bottom of the continuous spectrum of the Laplace–Beltrami operator is not an eigenvalue. Our approach only uses properties of the operator near infinity and, in particular, does not require any global assumptions on the topology or the curvature, unlike previous papers on the same topic. 相似文献
20.
Let us consider the time-dependent Schrödinger equation,
iφt=−Δφ+V(x,t)φ, 相似文献